Files in this item
Files | Description | Format |
---|---|---|
application/pdf ![]() ![]() | (no description provided) |
Description
Title: | Families of Rank Zero Twists of Elliptic Curves |
Author(s): | Iskra, Boris |
Doctoral Committee Chair(s): | Boston, Nigel |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Mathematics |
Abstract: | The objective of this thesis is to generalize this result to a bigger class of elliptic curves. We are going to generalize Serf's result to the family of elliptic curves with full 2-torsion, i.e. elliptic curves of the form $E:y\sp2 = (x-e\sb1)(x-e\sb2)(x-e\sb3)$ with $e\sb{i}\in\doubz.$ We can also assume that $e\sb1 = 0$ and that $e\sb2$ and $e\sb3$ are both odd. |
Issue Date: | 1998 |
Type: | Text |
Language: | English |
Description: | 48 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. |
URI: | http://hdl.handle.net/2142/86961 |
Other Identifier(s): | (MiAaPQ)AAI9904488 |
Date Available in IDEALS: | 2015-09-28 |
Date Deposited: | 1998 |
This item appears in the following Collection(s)
-
Dissertations and Theses - Mathematics
-
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois